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212110140 = 2235112389157
BaseRepresentation
bin11001010010010…
…00101100111100
3112210010022102010
430221020230330
5413300011030
633014131220
75153622624
oct1451105474
9483108363
10212110140
11a9804540
125b050b10
1334c37478
1420255884
151394c6b0
hexca48b3c

212110140 has 192 divisors, whose sum is σ = 688020480. Its totient is φ = 48322560.

The previous prime is 212110127. The next prime is 212110183. The reversal of 212110140 is 41011212.

It is a happy number.

It is a super-2 number, since 2×2121101402 = 89981422981639200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1350942 + ... + 1351098.

It is an arithmetic number, because the mean of its divisors is an integer number (3583440).

Almost surely, 2212110140 is an apocalyptic number.

212110140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212110140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344010240).

212110140 is an abundant number, since it is smaller than the sum of its proper divisors (475910340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212110140 is a wasteful number, since it uses less digits than its factorization.

212110140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 212110140 is about 14564.0015105739. The cubic root of 212110140 is about 596.3764381643.

Adding to 212110140 its reverse (41011212), we get a palindrome (253121352).

The spelling of 212110140 in words is "two hundred twelve million, one hundred ten thousand, one hundred forty".